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- W2243651491 abstract "Let $fcolon(R,mathfrak{m})rightarrow S$ be a local homomorphism of Noetherian local rings. Consider two endomorphisms textit{of finite length} (i.e., with zero-dimensional closed fibers) $varphicolon Rrightarrow R$ and $psicolon Srightarrow S$, satisfying $psicirc f=fcircvarphi$. Then $psi$ induces a finite length endomorphism $overline{psi}colon S/f(mathfrak{m})Srightarrow S/f(mathfrak{m})S$. When $f$ is flat, under the assumption that $S$ is Cohen-Macaulay we prove an additivity formula: $h_{mathrm{loc}}(psi)=h_{mathrm{loc}}(varphi)+h_{mathrm{loc}}(overline{psi})$ for textit{local entropy}." @default.
- W2243651491 created "2016-06-24" @default.
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- W2243651491 date "2014-04-06" @default.
- W2243651491 modified "2023-09-27" @default.
- W2243651491 title "On additivity of local entropy under flat extensions" @default.
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- W2243651491 hasPublicationYear "2014" @default.
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